Cercul lui Euler (cercul celor 9 puncte)

Click and drag to move blue points

A = (7.1, 4.22)
B = (4.3, -1.82)
C = (10.76, -1.8)
c = Circle(A, B, C)
a = Segment(A, B)
b = Segment(C, A)
d = Segment(B, C)
e = OrthogonalLine(A, d)
f = OrthogonalLine(C, a)
g = OrthogonalLine(B, b)
D = Midpoint(d)
E = Midpoint(b)
F = Midpoint(a)
H = Intersect(e, f)
H_1 = Midpoint(H, A)
I = Midpoint(H, B)
J = Midpoint(H, C)
K = Intersect(e, d)
L = Intersect(g, b)
M = Intersect(f, a)
h = Segment(A, K)
i = Segment(B, L)
j = Segment(C, M)
k = Segment(A, D)
l = Segment(B, E)
G = Intersect(k, l)
m = Segment(C, F)
O = Dilate(G, 1.5, H)
p = Circle(L, M, D)
dreapta = Line(H, G)